A Note on a Beam Equation with Nonlinear Boundary Conditions

We present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of an elastic beam with nonlinear controllers. Our results are based on classical fixed point...

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Bibliographic Details
Published inBoundary value problems Vol. 2011; no. 1; p. 376782
Main Author Pietramala Paolamaria
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.01.2011
Online AccessGet full text
ISSN1687-2762
1687-2770

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Summary:We present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of an elastic beam with nonlinear controllers. Our results are based on classical fixed point index theory. We improve and complement previous results in the literature. This is illustrated in some examples.
ISSN:1687-2762
1687-2770